A bag contains 3 red marbles(R), 5 green marbles(G), 2 black marbles(B), and 1 white marble(W). A marble is drawn from the bag and then replaced 30 times. What is the experimental probability of drawing a red marble?

The required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

We have been given that the expansion as

(1 + ax)²⁴

As per the binomial theorem expansion of the term 3,

T₃ = ⁿC₂ a² x²

Since the coefficient of x² = 1104

⇒ n!/2!(n-2)a² x² = 1104

Here n = 24

⇒ 24!/2!(24-2)a² = 1104

⇒ 276a² = 1104

⇒ a² = 1104/276

⇒ a² = 4

⇒ a = 2

Therefore, the required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

Learn more about the binomial theorem here:

brainly.com/question/27813780

#SPJ1

The 8 in Carla's number is 100 times the 8 in Travis' number.

Here you need to understand the concept of place value. For any number, each digit is always a order of magnitude of 10 larger than the digit in the left.

For example, in 88

The first 8 is 10 times larger than the second one.

There comes the concept of place value, the first digit at the left of the decimal point represents the units, the second represents the tens, the third one the hundresd, and so on.

So, in the two given numbers:

815,247 Here the 8 represents the hundreds of thousands.

638,571 Here the 8 is in the thousands place value.

Then the relation between the first 8 and the second one is:

100,000/1,000 = 100

The 8 in Carla's number is 100 times the 8 in Travis' number.

If you want to learn more about place value:

https://brainly.com/question/12386995

#SPJ1

In the sequence, Q is greater by 115.

From the information, P=5+7+9+11+...+101 and Q=9+11+13+15+...+103.

It should be noted that by looking at the figures the greater value will be Q as it began with a higher number.

The difference will be:

= 5 + 7 + 103

= 115

Therefore, in the sequence, Q is greater by 115.

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

Answer:

3

Step-by-step explanation:

input -3 into h(x)=x^2-6

h(-3)=-3^2-6=9-6=3

Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x  - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

https://brainly.com/question/24571594

#SPJ1

Answer:

The school should buy 39 packages.

Step-by-step explanation:

3198 notebooks

82 notebooks = 1 package

3198÷82 = 39

(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there?  4÷2 = 2   So 2 packages)

Answer:

  C. the set of all positive integers

Step-by-step explanation:

You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.

The domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.

The appropriate domain is the set of all positive integers.

__

Additional comment

As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.

The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).

Answer:

John

Step-by-step explanation:

it says Lizzy had which means we don’t know how much she has now. It says Fifi will have so we don’t know how much they have right now. But it says John has so we know what he has so therefore he has the most as of right now

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

[tex]R=\{0,3,4\}[/tex]

Step-by-step explanation:

We can find the range by finding the set of values the function takes for each element in the domain.

[tex]F(-4)=|-4|=4 \\ \\ F(0)=|0|=0 \\ \\ F(3)=|3|=3 \\ \\ \therefore R=\{0,3,4\}[/tex]

The domain and the range of the function are

From the question, we have the following parameters that can be used in our computation:

f(x) = |x|

The rule of a function is that

Using the above as a guide, we have the following:

Domain, D = {-4,0,-3}

Range, R = {4,0,3}

Read more about domain and range at

brainly.com/question/27910766

#SPJ3

Answer:

Step-by-step explanation:

45

The perimeter of the figure using the given side lengths is 12x - 10

The perimeter of a shape is the sum of the side lengths of the shape.

For all regular quadrilaterals, you add up the side lengths to determine the area

From the given figure, we have the side lengths to be:

x, 2x + 5, 6x - 17 and 3x + 2

Add these side lengths

So, we have

Perimeter = x + 2x + 5 + 6x - 17 + 3x + 2

Evaluate the like terms

Perimeter = 12x - 10

Hence, the perimeter of the figure using the given side lengths is 12x - 10

Read more about perimeter at

https://brainly.com/question/24571594

#SPJ1

Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

Answer:  a

Step-by-step explanation: hope it helps.

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

Step-by-step explanation:

show how to work out the question

Answer:

Step-by-step explanation:

Joint variation equation:

Find the value of k by plugging in the given values:

The equation is:

Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours

Answer:

=

15/4

(Decimal: 3.75)

Step-by-step explanation:

Answer: y=1

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(1-1)/(0-8)

m=0/(-8)

m=0

y=mx+b

1=0(0)+b

b=1

y=0x+1

y=1

Answer:

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4

Step-by-step explanation:

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer as a fraction:  x = 1/2

Answer in decimal form:  x = 0.5

Work Shown:

4x+9 = 11

4x = 11-9

4x = 2

x = 2/4

x = 1/2

x = 0.5

Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)

The number of passengers that he will give tours to on his bus is 486 passengers.

From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.

The number of passengers that he will be able to carry will be:

= 54× 9

= 486

There'll be 486 passengers.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

Correct choice is B.) 45°

The solution is in attachment ! do check it

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

hey

list

You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:

_______________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable.

Solution's Exact Form:

[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]

_______________________________________________

Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!

Answer:

the answer is

Step-by-step explanation:

A is more likely to be 12 and B could be 3

so 12/3=4

and

3/12= 0.25